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Stochastic Climate Models pp 159–169Cite as

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Thermodynamic formalism, large deviation, and multifractals

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Part of the book series: Progress in Probability ((PRPR,volume 49))

Abstract

The spectral gap of the transfer operator for an expanding dynamical systems relates large deviation and local limit theorems. We discuss this phenomenon and state a local large deviation theorem in symbolic dynamical systems due to the second author ([8]). This general viewpoint also implies the multifractal formalism for topological Markov chains.

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Author information

Authors and Affiliations

  1. Institut für Mathematische Stochastik, Universität Göttingen, Lotzestr. 13, D-37083, Göttingen, Germany

    Manfred Denker & Marc Kesseböhmer

Authors
  1. Manfred Denker
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  2. Marc Kesseböhmer
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099, Berlin, Germany

    Peter Imkeller

  2. Institut für Meteorologie, Universität Hamburg, Bundesstr. 55, D-20146, Hamburg, Germany

    Jin-Song von Storch

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© 2001 Springer Basel AG

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Denker, M., Kesseböhmer, M. (2001). Thermodynamic formalism, large deviation, and multifractals. In: Imkeller, P., von Storch, JS. (eds) Stochastic Climate Models. Progress in Probability, vol 49. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8287-3_6

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  • DOI: https://doi.org/10.1007/978-3-0348-8287-3_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9504-0

  • Online ISBN: 978-3-0348-8287-3

  • eBook Packages: Springer Book Archive

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